A shooting approach to chaos in the Lorenz equations

被引：22
|
作者：
Hastings, SP
Troy, WC
机构：
[1] Faculty of Arts and Sciences, Dept. of Mathematics and Statistics, University of Pittsburgh, Pittsburgh
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1996年 / 127卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1006/jdeq.1996.0060
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that under certain conditions, the Lorenz equations support a form of chaos. The conditions have been verified for a particular set of parameter values, showing that there is a natural 1:1 correspondence between a set of solutions and the set of all sequences on countably many symbols. The computing required was modest. (C) 1996 Academic Press, Inc.
引用
收藏
页码：41 / 53
页数：13
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